Joe is 20 years old. His sister is half his age less 7. How old is his sister?
1 answer:
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the Answer:
Notice that the "image" triangles are on the opposite side of the center of the dilation (vertices are on opposite side of O from the preimage). Also, notice that the triangles have been rotated 180º.
Step-by-step explanation:
A dilation is a transformation that produces an image that is the same shape as the original but is a different size. The description of a dilation includes the scale factor (constant of dilation) and the center of the dilation. The center of dilation is a fixed point in the plane about which all points are expanded or contracted. The center is the only invariant (not changing) point under a dilation (k ≠1), and may be located inside, outside, or on a figure.
Note:
A dilation is NOT referred to as a rigid transformation (or isometry) because the image is NOT necessarily the same size as the pre-image (and rigid transformations preserve length).
What happens when scale factor k is a negative value?
If the value of scale factor k is negative, the dilation takes place in the opposite direction from the center of dilation on the same straight line containing the center and the pre-image point. (This "opposite" placement may be referred to as being a " directed segment" since it has the property of being located in a specific "direction" in relation to the center of dilation.)
Let's see how a negative dilation affects a triangle:
Notice that the "image" triangles are on the opposite side of the center of the dilation (vertices are on opposite side of O from the preimage). Also, notice that the triangles have been rotated 180º.
They spent 195 hours not flying.
The inequality represents the sentence below is that the p minus 1. 4 greater-than 9.
<h3>What is the inequality equation?</h3>Inequality equation is the equation in which the two expressions are compared with greater than, less than or other inequality signs.
Given that the difference of a number and one and four tenths is more than nine and seventy-eight hundredths.
Before solving it, first let's discuss the tenth and hundredths,
- Tenth is written as the fractional part of the number 10. The value of one tenth is equal to 1/10 or 0.1.
- Hundredths is written as the fractional part of the number 100. The value of one hundredth is equal to 1/100 or 0.01.
Here, the sentence given that the difference of a number and one and four tenths is more than nine and seventy-eight hundredths.
One and four tenths can be written as,
Nine and seventy-eight hundredths can be written as,
Let suppose the number is <em>p</em>. This difference of this number and one four tenths is more than nine and seventy-eight hundredths. Thus,
Hence, the inequality represents the sentence below is that the p minus 1. 4 greater-than 9.
Learn more about the inequality equation here:
Answer:
the answer is D
Step-by-step explanation:
refer to the picture given
